Wait, you're having a cellmate with a broken arm put on a doctor's getup and then running away? I guess it could work but, meh.
I'd fake a fight with my cellmate, grab the guards nightstick and/or knife, Shout out phrases like, "Step 1, SECURE THE KEY!" Then we would get some acetone and a blowtorch. After that, I would grab a sick mini gun nicknamed, "The Death Machine" and escape Vorkuta on motorbikes.